GCD of 663, 180, 612, 627 Calculator

Given Input numbers are 663, 180, 612, 627

In the factoring method, we have to find the divisors of all numbers

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

GCD of numbers is the greatest common divisor

So, the GCD (663, 180, 612, 627) = 3.

Given numbers are 663, 180, 612, 627

The list of prime factors of all numbers are

Prime factors of 663 are 3 x 13 x 17

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 627 are 3 x 11 x 19

The highest common occurrence is 3¹

Therefore, GCD of 663, 180, 612, 627 is 3.

Given numbers are 663, 180, 612, 627

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(663, 180) = 39780

GCD(663, 180) = ( 663 x 180 ) / 39780

= 663 / 180

= 663

Step2:

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

= 3 / 612

= 3

Step3:

LCM(3, 627) = 627

GCD(3, 627) = ( 3 x 627 ) / 627

= 3 / 627

= 3

So, Greatest Common Divisor of 663, 180, 612, 627 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 311, 930, 454
• GCD of 692, 755, 430, 879
• GCD of 449, 785, 868, 627
• GCD of 133, 449, 403, 354
• GCD of 211, 241, 982, 149

Given numbers are 663, 180, 612, 627
The greatest common divisor of numbers 663, 180, 612, 627 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 663, 180, 612, 627 is 3.

1. What is the GCD of 663, 180, 612, 627?

GCD of given numbers 663, 180, 612, 627 is 3

2. How to calculate the greatest common divisor of 663, 180, 612, 627?

We can find the highest common divisor of 663, 180, 612, 627 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 663, 180, 612, 627 i.e 3.

3. How can I use the GCD of 663, 180, 612, 627Calculator?

Out the numbers 663, 180, 612, 627 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.